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Finding the Third Proportional to 27,092 and 39,022

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Solution

The third proportional to 27,092 and 39,022 is: 56,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,092 : 39,022 = 39,022 : x
  2. Step 2: Convert to fraction form
    27,092/39,022 = 39,022/x
  3. Step 3: Cross multiply
    27,092x = 39,022 × 39,022
  4. Step 4: Simplify right side
    27,092x = 1,522,716,484
  5. Step 5: Solve for x
    x = 1,522,716,484/27,092
  6. Step 6: Final answer
    x = 56,205.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.